Rules of divisibility

The difference between any positive integer and the sum of its digits is always divisible by 1, 3 and which other positive integer?


The answer is 9.

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1 solution

Hana Wehbi
Feb 12, 2018

Take for example a three digit number A B C 100 A + 10 B + C ( A + B + C ) = 90 A + 9 B , this number is evenly divisible by 9. \overline{ABC} \implies 100A+10B+C - (A+B+C)= 90A+9B \text{, this number is evenly divisible by 9.}

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